Atkin-Lehner |
2+ 5+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
59200bf |
Isogeny class |
Conductor |
59200 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-5607424000000000000 = -1 · 224 · 512 · 372 |
Discriminant |
Eigenvalues |
2+ -2 5+ -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,391967,-63575937] |
[a1,a2,a3,a4,a6] |
Generators |
[819:28416:1] [1843:83200:1] |
Generators of the group modulo torsion |
j |
1625964918479/1369000000 |
j-invariant |
L |
6.7666289816212 |
L(r)(E,1)/r! |
Ω |
0.13286322190344 |
Real period |
R |
6.3661607071125 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000007 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59200cz2 1850a2 11840c2 |
Quadratic twists by: -4 8 5 |